When two or more optical fields having different wavelengths propagate simultaneously inside a fiber, they interact with each other through cross-phase modulation (XPM). The XPM-induced coupling among multiple optical fields gives rise to a number of interesting nonlinear effects in optical fibers. The coupling between two fields of different wavelengths is considered in Section 7.1, where a set of two coupled nonlinear Schrödinger equations is derived, assuming that each wave maintains its state of polarization. These equations are used in Section 7.2 to discuss how the XPM affects the phenomenon of modulation instability. Similar to the analysis in Section 6.4, this instability can occur even in the normal-dispersion ...
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